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Finding the Fourth Proportional to 1,519.27, 2,277.69 and 870.46

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Solution

The fourth proportional to 1,519.27, 2,277.69 and 870.46 is: 1,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.27 : 2,277.69 = 870.46 : x
  2. Step 2: Convert to fraction form
    1,519.27/2,277.69 = 870.46/x
  3. Step 3: Cross multiply
    1,519.27x = 2,277.69 × 870.46
  4. Step 4: Simplify right side
    1,519.27x = 1,982,638.04
  5. Step 5: Solve for x
    x = 1,982,638.04/1,519.27
  6. Step 6: Final answer
    x = 1,304.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.